Exploring the global entanglement and quantum phase transition in the spin 1/2 XXZ model with Dzyaloshinskii–Moriya interaction

We study the global entanglement and quantum phase transition with the anisotropy parameter and Dzyaloshinskii–Moriya (DM) interaction by methodology of quantum renormalization group within a spin 1/2 XXZ model. It has been shown that the global entanglement can develop two different fixed values, which can exhibit quantum phase transition at the critical point, and DM interaction not only can control the occurrence of the critical point, but also can recover the spoiled three-block entanglement. The behavior of the three-block global entanglement of this large 1D spin 1/2 XXZ model with DM interaction can be revealed in this paper. It turns out that the critical exponent had a relation with the correlation length in the neighborhood of the critical point. Furthermore, the scaling behavior and nonanalytic phenomenon in the spin chains are disclosed.